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The full quantum-statistical theory of the Vertical-Cavity Surface-EmittingLaser (VCSEL) in the form of the Langevin equations is constructed forarbitrary relations between the frequency parameters. The same theoreticaltreatment as in Ref.[1,2] are used. For detailed analysis the theory is appliedfor lasers with equally living laser levels and on this basis the analyticalexpressions for the spectral densities of the Stokes parameter fluctuations areobtained in the explicit dependence on the physical phenomena, including thespin-flip and the optical anisotropy. It is demonstrated the arbitrarydistribution of electrons between the sub-levels under pumping does notrestrict a possibility to achieve the noise reduction below the quantum limit.Under comparison with phenomenological treatment Ref.[3] it is shown thisapproach turns out to be not quite satisfied.Comment: 16 pages, 5 figure

Polarization statistical properties of emission from single-mode vertical-cavity surface-emitting lasers with equally-lived laser levels